I love my Bersa Thunder380CC. I evaluated both and the CC won me over with smaller size, lower weight, and features. In terms of grip, I don't feel much of a difference. In terms of accuracy I have not shot the non-CC but I am very happy with the CC. It is one of the BEST for Concealed Carry and the non-CC is bigger and heavier. I am also very happy with target acquisition after recoil. The Bersa I have has flourescent orange rear and front sights, and they make sighting easy. The Trigger is FANTASTIC, too. DA is lightweight too.
Additional features: flourescent orange chamber indicator, safety/decocker, side mag release. It has a magazine interlock which I don't like and it was easily removed.
Three downsides: Due to the fixed barrel design the gun gets dirtier than others after range practice...same for non-CC. I clean mine after every practice, but it is easy to clean. Available third-party grips are hard to find. You many need to take a file to the rough edges if you buy new just to smooth the hammer or the slide....that is optional.
The CC is easy for women to shoot as well.
Good Luck and Get plenty of training.